Abstract
Using combinatorial techniques, a number of procedures has been developed to find the best qualitative and quantitative J scales in unidimensional unfolding. On the basis of these procedures a computer program, UNFOLD, has been written. The criterion for a ‘best’ J scale is derived from nonparametric statistics: the minimization of the total number of inversions between the J scale and subjects’ rankings. In defining a quantitative J scale as a ’midpoint sequence’ some useful results are attained: 1) a transitivity check of a quantitative J scale can be done on the basis of the midpoint sequence; 2) scale values for individuals and stimuli can be found using the midpoint sequence and linear programming techniques. The procedures are illustrated on the Coombs’ (1964) Grade Expectations data.
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van Blokland-Vogelesang, R.A.W. (1989). Midpoint Sequences, Intransitive J Scales and Scale Values in Unidimensional Unfolding. In: Roskam, E.E. (eds) Mathematical Psychology in Progress. Recent Research in Psychology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83943-6_20
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DOI: https://doi.org/10.1007/978-3-642-83943-6_20
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